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Background. Global illumination is not trivial to compute in real-time computer graphics. One approximate solution is to distribute virtual light sources from a primary light, to then apply direct light calculations to said virtual lights. This can effectively estimate two-bounce illumination. To mitigate artifacts, virtual lights make use of a spherical shape and utilize spherical harmonics to allow for efficient light integration. These indirect light sources are referred to as "harmonics virtual lights" (HVLs). Objectives. The objectives of this thesis are to analyze the data structures, calculations and performance of an HVL implementation in different 3D scenes. Methods. HVLs are implemented using the Vulkan API. Experiments are then performed to evaluate and optimize execution times. Furthermore, different measures are taken to ensure correctness and minimize errors wherever possible. Results. The GPU pass responsible for gathering indirect light contributions from HVLs turned into a heavy bottleneck. A number of different optimization techniques were applied to said pass and analyzed. Seven techniques were found to have a positive effect on performance, each with varying degrees of impact on timings. No optimization compromised on input parameters, visual results or mathematical correctness. Additionally, three techniques were instead worsening performance of the implementation, despite having initial motivations for possible improvements. Conclusions. All optimization techniques with positive effects working in conjunction led to a total speedup of 46.9x in a specific use case of our implementation. There is room for further potential improvements, and a number of different techniques for future work are explained. The final source code for the implementation can be viewed in a public GitHub repository.

The field of Computer Vision continues to be revolutionized by advances in Convolutional Neural Networks. These networks are well suited for the regular grid structure of image data. However, there are many irregular image types that do not fit within such a framework, such as multi-view images, spherical images, superpixel representations, and texture maps for 3D meshes. These kinds of representations usually have specially designed networks that only operate and train on that unique form of data, thus requiring large datasets for each data domain. This dissertation aims to bridge the gap between standard convolutional networks and specialized ones. It proposes selection-based convolution. This technique operates on graph representations, giving it the flexibility to represent many irregular image domains, but maintains the spatially-oriented nature of an image convolution. Thus, it is possible to train a network on standard images, then use those same network weights for any kind graph-based representation. The effectiveness of this technique is evaluated on image types such as spherical images and 3D meshes for tasks such as segmentation and style transfer. Improvements to the selection mechanism through various forms of interpolation are also presented. Finally, this work demonstrates the generality of selection and its ability to be applied to various forms of graph networks and graph data, not just those specific to the image domain.

The Pilsen region suffers the highest incidence of kidney tumours worldwide. Approximately 240 new cases diagnosed as C64 (malignant renal tumours outside the pelvis) were recorded in this region of about 580,000 inhabitants in 2015. Clear renal cell carcinoma has long held first place as the most common tumour, with papillary renal cell carcinoma (pRCC) being the second most frequently operated kidney tumour at the Urology Department of the University Hospital in Pilsen. The 2016 WHO classification of kidney tumours recognizes officially only the stratification of pRCC to type 1 (pRCC1) and type 2 (pRCC2). Unfortunately, the current division does not correspond with knowledge derived from everyday practice. Most clinical trials involving pRCC do not differentiate between the subtypes, adhering only to the official type 1 and 2 divisions and the atypical papillary forms being excluded from their studies. We therefore have to face the question of whether the histological pRCC subtype affects the risk of recurrence, or death, in surgically treated patients. The aim of this dissertation work is to take into consideration also all other papillary types which differ from characterization of pRCC1 and pRCC2. The analyses of a group of patients with surgically treated and histologically verified pRCC at...

Plasma centrifugal atomization is a method widely used in the production of spherical powders of metals and alloys with relatively low melting points. A novel plasma centrifugal atomization process suitable for high melting point materials (i.e. 3500 ᵒC and above) was developed by Metasphere Technology AB, currently Höganäs Sweden AB. In this process, feedstock material in the form of crushed powder with particle sizes in the range 400-1000 µm is fed into a rotating crucible and subsequently melted by the glow discharge of a plasmatron. Due to high rotational speeds, a melt film forms at the edge of the crucible and breaks into fine droplets that are ejected into the reactor chamber and solidified in a whirl of cold inert gases. Capability of the plasmatron to reach very high temperatures, combined with extremely rapid cooling of the ejected droplets, allow for the fabrication of fine powders of refractory alloys exhibiting metastable phases that cannot be obtained otherwise.  Oil drilling, ore processing and metal shaping applications, among other, require tool materials capable of withstanding harsh working conditions under heavy loads. Owing to their physical, chemical and mechanical properties, tungsten-carbon alloys are among the most suited materials for such applications. Melting followed by rapid solidification of tungsten-carbon mixtures with 3.9 wt.% C results in a biphasic structure composed of WC lamellae inserted in a W2C matrix, known as cast tungsten carbide (CTC). Due to the metastable nature of both phases present, CTC exhibits exceptional mechanical properties. CTC is mainly used as reinforcing dispersed phase in metal matrix composite hardfacing overlays, which are deposited by plasma transferred arc (PTA) welding or laser cladding onto steel tools. High-entropy alloys (HEAs) are defined as multi-component solid solutions with equimolar or near-equimolar concentration of all principal elements. Owing to their outstanding mechanical, corrosion, erosion, oxidation and radiation resistance properties compared to conventional alloys, HEAs are among the most suited materials for aerospace and nuclear applications. Several processing routes have allowed for laboratory-scale production of HEAs. Nevertheless, size and shape of bulk components that can be thus produced are largely limited. In a quest for up-scaling the processing of high-end bulk HEA components, plasma centrifugal atomization of pre-alloyed refractory HEA spherical powders suitable for additive manufacturing was envisaged. In this work, capabilities of the novel plasma centrifugal atomization for processing of refractory alloys into fine spherical powders have been evaluated based on two different material systems, namely CTC and a refractory HEA containing Ti, V, Zr, Nb, Mo, Hf, Ta, W. Challenges of local mechanical characterization of micron-sized powders have been addressed and a robust method for testing of individual particles has been developed. Mechanical properties such as hardness and fracture toughness of plasma atomized CTC powders have been extensively investigated and related to the corresponding thermal stories. Experimental results suggest significant straining of the crystal lattice in the case of as-atomized CTC, possibly due to extremely high cooling rates experienced by the solidifying particles. This has been ruled out the main reason for the outstanding mechanical properties of plasma atomized CTC compared to both spheroidized CTC and conventional cast & crushed CTC. Effective stress relieve was possible upon heat treatment. Plasma atomization of the refractory HEA yielded similar results, where an extremely fine microstructure with no noticeable chemical segregation was obtained. Indentation hardness of this novel microstructure was found to be approximately 25% higher than that of similar alloys reported in literature. HEA powder thus produced was then consolidated into bulk HEAs with very simple geometries, proving that this powder can be further processed into components of more or less complexity for pre-defined applications.

Recent interest surrounding large scale satellite constellations has increased analysis efforts to create the most efficient designs. Multiple studies have successfully optimized constellation patterns using equations of motion propagation methods and genetic algorithms to arrive at optimal solutions. However, these approaches are computationally expensive for large scale constellations, making them impractical for quick iterative design analysis. Therefore, a minimalist algorithm and efficient computational method could be used to improve solution times. This thesis will provide a tool for single target constellation optimization using spherical trigonometry propagation, and an evolutionary genetic algorithm based on a multi-objective optimization function. Each constellation will be evaluated on a normalized fitness scale to determine optimization. The performance objective functions are based on average coverage time, average revisits, and a minimized number of satellites. To adhere to a wider audience, this design tool was written using traditional Matlab, and does not require any additional toolboxes. To create an efficient design tool, spherical trigonometry propagation will be utilized to evaluate constellations for both coverage time and revisits over a single target. This approach was chosen to avoid solving complex ordinary differential equations for each satellite over a long period of time. By converting the satellite and planetary target into vectors of latitude and longitude in a common celestial sphere (i.e. ECI), the angle can be calculated between each set of vectors in three-dimensional space. A comparison of angle against a maximum view angle, , controlled by the elevation angle of the target and the satellite’s altitude, will determine coverage time and number of revisits during a single orbital period. Traditional constellations are defined by an altitude (a), inclination (I), and Walker Delta Pattern notation: T/P/F. Where T represents the number of satellites, P is the number of orbital planes, and F indirectly defines the number of adjacent planes with satellite offsets. Assuming circular orbits, these five parameters outline any possible constellation design. The optimization algorithm will use these parameters as evolutionary traits to iterate through the solutions space. This process will pass down the best traits from one generation to the next, slowly evolving and converging the population towards an optimal solution. Utilizing tournament style selection, multi-parent recombination, and mutation techniques, each generation of children will improve on the last by evaluating the three performance objectives listed. The evolutionary algorithm will iterate through 100 generations (G) with a population (n) of 100. The results of this study explore optimal constellation designs for seven targets evenly spaced from 0° to 90° latitude on Earth, Mars and Jupiter. Each test case reports the top ten constellations found based on optimal fitness. Scatterplots of the constellation design solution space and the multi-objective fitness function breakdown are provided to showcase convergence of the evolutionary genetic algorithm. The results highlight the ratio between constellation altitude and planetary radius as the most influential aspects for achieving optimal constellations due to the increased field of view ratio achievable on smaller planetary bodies. The multi-objective fitness function however, influences constellation design the most because it is the main optimization driver. All future constellation optimization problems should critically determine the best multi-objective fitness function needed for a specific study or mission.

Numerous practical applications exist where dispersed solid particles are transported within a turbulent accelerating or decelerating gaseous flow. The large density variation between phases creates the potential for significant differences in velocity known as velocity slip. Flow over a backward facing step provides a well characterized, turbulent, decelerating flow useful for measuring the relative velocities of the solid and gaseous phases in order to determine velocity slip and particle drag. Numerous investigations have been conducted to determine the gas phase velocity in a backward facing step for both laminar and turbulent flows and therefore the gas phase flow is well know and documented. Furthermore, some studies have also been conducted to determine the velocity of various sizes of spherical particles in a backward facing step and compared with their corresponding gas phase velocities. Few if any velocity measurements have been made for non-spherical particles in a backward facing step. In this work, a Phase Doppler Particle Analyzer (PDA) was used to measure gas and particle phase velocities in a backward facing step. The step produced a 2:1 increase in cross sectional area with a Reynolds number of 22,000 (based on step height) upstream of the step. Spherical particles of 1 – 10 μm with an average diameter of 4μm were used to measure the gas phase velocity. At least three sizes in the range of (38 – 212 μm) for four different particles shapes were studied. The shapes included: spheres, flakes, gravel, and cylinders. Since the PDPA is not able to measure the size of the non-spherical particles, the particles were first separated into size bins and a technique was developed using the PMT (photo multiplier tubes) gain to isolate the particle size of interest for each size measured. The same technique was also used to measure terminal velocities of the particles in quiescent air. The measured gas phase velocity and spherical solid phase particles were in good agreement with previous measurements in the literature. The results showed relative velocities between the particles and gas phase to be in the range of 0 – 3 m/s which is in transition between stokes flow and fully developed turbulent flow. Drag coefficients were an order magnitude higher for non-spherical particles in turbulent flows in comparison to stokes flow which agreed reasonably well with quiescent terminal velocity drag. This information is valuable for modeling turbulent two-phase flows since most assumptions of the drag are currently based on correlations from empirical data with particles moving through a still fluid.

This work evaluates the relative significance of forces determining the motion of a pulverized coal particle under conditions representative of a pressurized oxy-coal combustor. The gravity force and surface forces of drag, fluid stress, added mass, and Basset history are discussed and appropriate forms of these force equations are chosen, with a consideration of spherical and non-spherical drag and the Basset history kernel. Studies from the literature that emphasize specific forces are used to validate the implementation of the force equations and correlations. Modeling is based on time-averaged, one-dimensional motion of a single non-reacting particle along the centerline of a round, turbulent jet. The numerical methodology employed for solving the particle equation of motion is described in detail, and simulated particle motion is compared to experimental and high-fidelity simulations from the literature. Comparisons show the numerical methodology performs adequately relative to higher fidelity simulations and experimental test cases for one-dimensional, time-invariant conditions. To assess the effect of pressure on particle forces and motion under different conditions, simulation cases are run for particle diameters of 20 μm, 50 μm, 125 μm, gas temperatures of 300 K and 1500 K, and gas pressures of 1.01325 bar, 2 bar, 5 bar, 10 bar, 20 bar, 40 bar. Simulations are conducted over a 0.75-m length in a simplified environment representative of the pressurized oxy-coal (POC) combustor at Brigham Young University. Results show that all surface forces examined can be locally significant at high gas pressures when particle and gas velocity differences, i.e., particle Reynolds numbers, are greatest. The following trends are found for the behavior of surface forces in simplified, POC combustor simulations: 1) The quasi-steady drag force is always significant, though it's relative contribution to particle motion decreases as particles traverse regions with significant fluid velocity gradients or significant values for the substantial derivative of fluid velocity. Furthermore, quasi-steady drag is the only surface force that is significant throughout the entirety of a particle's trajectory. The relative contribution of the drag force decreases with increasing gas pressure. 2) The impact of the fluid stress force on particle motion increases with increasing gas pressure and particle size. The fluid stress force can be locally important for all of the particles sizes when at a gas temperature of 300 K and elevated pressure, as particles traverse regions with significant substantial derivatives of fluid velocity. The local impact of the fluid stress force is largely negligible at 1500 K, except for the case of the largest particle at the greatest pressure. 3) The behavior of the added mass force largely mirrors that of the fluid stress force, though the added mass force is generally of lesser magnitude. Therefore, the added mass force can be locally important for all of the particles sizes when at a gas temperature of 300 K and elevated pressure, as particles traverse regions with significant substantial derivatives of fluid velocity. The added mass force is generally the least significant of the analyzed surface forces. 4) The Basset history force is locally significant for all cases where the particles are traversing regions with significant fluid velocity gradients. The impact of the Basset history force on particle motion increases with increasing gas pressure and particle size, while decreasing as gas temperature increases.

Introduction: Articular cartilage (AC) is a low friction load bearing material found in synovial joints. The natural repair of damaged tissue is difficult and often requires surgical intervention. With large defects it becomes necessary to match the original tissue geometry. We hypothesized that localized collagen (COL) and/or proteoglycan (PG) remodeling occurs during AC spherical reshaping. The objective of this study was to determine the presence, magnitude and depth dependence of COL and PG remodeling that accompanies AC reshaping. Methods: Full thickness AC blocks (7x7 mm2 surface area) were harvested from the ridges of the patellofemoral groove of immature (1-3 week old) bovine knees. The top 0-1 mm with intact articular surface was sliced off with a vibrating microtome. A 6 mm diameter disk was punched out of the slice and the most anterior edge was notched to mark directionality. The final sample was a 1 mm thick, 6 mm diameter disk with a notch on the most anterior edge. Samples were either not treated (day 0; D0) or allowed to free swell overnight in 20% FBS. Then cultured samples were placed in culture with 20% FBS in either free swelling (FS), static bending with the articular surface concave (concave) or in static bending with the articular surface convex (convex). Wet-weight and opening angle were measured before and 2 hours after removal from culture. Following culture, samples were cut in half in the anterior posterior direction. One half of each sample was frozen and later analyzed for PG, COL and cell content. The other half was fixed for 24-48 hours in 4% paraformaldehyde; samples were then transferred to 20% Hexabrix for 24 hours before imaging by micro-computed tomography (μCT) to assess PG distribution. Following μCT, samples were again placed in 4% paraformaldehyde for 24-48 hours and then prepared for qPLM to assess collagen orientation (α), parallelism index (PI), and area fraction of non-birefringent tissue (AFNBR). Variations were assessed by ANOVA with post hoc tests for significant ANOVA (pResults: Four days of spherical bending significantly changed (pDiscussion: Spherical bending reshapes AC into a cup shape. Trends of decreasing α standard deviation (αSD) with depth in concave samples and increasing αSD with depth in convex samples indicate that COL matrix disorganization is associated with regions of compressive strain. Consequently, further evaluation on the disorganization of the collagen network should be studied to elucidate mechanisms of cartilage reshaping.

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